The Poincare algebra in the context of ageing systems: Lie structure, representations, Appell systems and coherent states
Abstract
By introducing an unconventional realization of the Poincare algebra alt1 of special relativity as conformal transformations, we show how it may occur as a dynamical symmetry algebra for ageing systems in non-equilibrium statistical physics and give some applications, such as the computation of two-time correlators. We also discuss infinite-dimensional extensions of alt1 in this setting. Finally, we construct canonical Appell systems, coherent states and Leibniz functions for alt1 as a tool for bosonic quantization.
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.